Data commit

Task/Arithmetic-Complex/Nanoquery/arithmetic-complex.nanoquery

@@ -0,0 +1,56 @@
+import math
+
+class Complex
+        declare real
+        declare imag
+
+        def Complex()
+                real = 0.0
+                imag = 0.0
+        end
+
+        def Complex(r, i)
+                real = double(r)
+                imag = double(i)
+        end
+
+        def operator-(b)
+                return new(Complex, this.real - b.real, this.imag - b.imag)
+        end
+
+        def operator+(b)
+                return new(Complex, this.real + b.real, this.imag + b.imag)
+        end
+
+        def operator*(b)
+                // FOIL of (a+bi)(c+di) with i*i = -1
+                return new(Complex, this.real * b.real - this.imag * b.imag,\
+                         this.real * b.imag + this.imag * b.real)
+        end
+
+        def inv()
+                // 1/(a+bi) * (a-bi)/(a-bi) = 1/(a+bi) but it's more workable
+                denom = this.real * this.real + this.imag * this.imag
+                return new(Complex, real/denom, -imag/denom)
+        end
+
+        def neg()
+                return new(Complex, -this.real, -this.imag)
+        end
+
+        def conj()
+                return new(Complex, this.real, -this.imag)
+        end
+
+        def toString()
+                return this.real + " + " + this.imag + " * i"
+        end
+end
+
+a = new(Complex, math.pi, -5)
+b = new(Complex, -1, 2.5)
+println a.neg()
+println a + b
+println a.inv()
+println a * b
+println a.conj()